Research interests

Control theory in finite dimension: optimal control, value function, singular trajectories, stabilization, viscosity solutions. Theory and algorithms for conjugate points. Numerical methods in optimal control, continuation methods. Applications to aerospace problems.
Control theory in infinite dimension: controllability, observability, stabilization of PDEs. Numerical methods in optimal control. Image analysis. Shape optimization, best actuator and sensor shape and location.
Sub-Riemannian geometry: singular curves, genericity results. Sub-Riemannian geometry in infinite dimension, shape analysis. Sub-Riemannian Laplacians, spectral analysis, quantum ergodicity, canonical measures.

Several talks:

Some popularization conferences: